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Finding the Fourth Proportional to 1,541.97, 2,313.09 and 709.02

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Solution

The fourth proportional to 1,541.97, 2,313.09 and 709.02 is: 1,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.97 : 2,313.09 = 709.02 : x
  2. Step 2: Convert to fraction form
    1,541.97/2,313.09 = 709.02/x
  3. Step 3: Cross multiply
    1,541.97x = 2,313.09 × 709.02
  4. Step 4: Simplify right side
    1,541.97x = 1,640,027.07
  5. Step 5: Solve for x
    x = 1,640,027.07/1,541.97
  6. Step 6: Final answer
    x = 1,063.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.